
It has been shown in [1]} that \(\lbrace  C^\bullet (A, M, R), \mathcal {D} \rbrace \)  is a cochain complex. The corresponding cohomology groups are denoted by \(H^\bullet (A,M,R)\) , and called the cohomology of the relative Rota-Baxter algebra \(M \xrightarrow{} A\) .
